Mathematics Exam > Mathematics Videos > Algebra > Sequence: Definition & Examples
Sequence: Definition & Examples Video Lecture | Algebra - Mathematics
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FAQs on Sequence: Definition & Examples Video Lecture - Algebra - Mathematics
| 1. What is the definition of a sequence? |  |
Ans. A sequence is a list of numbers or objects arranged in a specific order. Each number or object in the sequence is called a term, and the order of the terms is determined by a pattern or rule.
| 2. What are some common types of sequences? | |
Ans. There are several common types of sequences. Some examples include arithmetic sequences, geometric sequences, Fibonacci sequences, and harmonic sequences. Each type of sequence follows a specific pattern or rule.
| 3. How can I determine the next term in a sequence? | |
Ans. To determine the next term in a sequence, you need to identify the pattern or rule that governs the sequence. Once you have identified the pattern, you can apply it to find the next term. For example, in an arithmetic sequence, you can add a constant difference between each term to find the next term.
| 4. What is the difference between an arithmetic sequence and a geometric sequence? | |
Ans. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic sequence with a common difference of 3. In a geometric sequence, each term is obtained by multiplying the previous term by a constant ratio. For example, the sequence 2, 6, 18, 54, 162 is a geometric sequence with a common ratio of 3.
| 5. Can a sequence have an infinite number of terms? | |
Ans. Yes, a sequence can have an infinite number of terms. These types of sequences are called infinite sequences. Examples include the Fibonacci sequence and the harmonic sequence. In an infinite sequence, there is no final term, and the pattern or rule continues indefinitely.
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Nov 08, 2024 Last updated |
Video Description: Sequence: Definition & Examples for Mathematics 2024 is part of Algebra preparation.
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